Dictionary of Evidence-based Medicine.pdf
Dictionary of Evidence-based Medicine.pdf
Dictionary of Evidence-based Medicine.pdf
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14 <strong>Dictionary</strong> <strong>of</strong> <strong>Evidence</strong>-<strong>based</strong> <strong>Medicine</strong><br />
subjected to radiation, a group which included patients with disseminated<br />
disease (Wasson J, Cushman C, Bruskewitz R et al. (1993) A structured literature<br />
review <strong>of</strong> treatment for localised prostate cancer. Archives <strong>of</strong> Family<br />
<strong>Medicine</strong>. 2: 487-93).<br />
Binary contingent valuation (see under Contingent valuation)<br />
Binary variable<br />
A variable for which there are only two outcomes (e.g. living status - dead<br />
or alive - or outcome <strong>of</strong> tossing a coin).<br />
Binomial distribution<br />
Consider a series <strong>of</strong> Bernoulli trials (i.e. each trial has only two outcomes).<br />
Suppose that the probability <strong>of</strong> success in each trial is the same<br />
and equal to p and that n trials are undertaken. If Y is the random variable<br />
representing the number <strong>of</strong> successes in the n trials, then Y follows the<br />
binomial probability distribution given by:<br />
where y is an actual observation and (\ = (l-p). An example which is easy<br />
to relate to is a series <strong>of</strong> tosses <strong>of</strong> the same coin. Each toss <strong>of</strong> the coin is a<br />
Bernoulli trial with probability <strong>of</strong> obtaining a head <strong>of</strong> 0.5 for a fair coin.<br />
y is the number <strong>of</strong> heads in the n trials.<br />
Note that 0! is defined as 1. The binomial distribution has mean np and<br />
variance npq.<br />
Binomial theorem<br />
The binomial theorem gives the formula for expanding expressions <strong>of</strong> the<br />
form (x + y} n :